18670485012480 has 3072 divisors, whose sum is σ = 83541207859200. Its totient is φ = 3760906567680.

The previous prime is 18670485012469. The next prime is 18670485012523. The reversal of 18670485012480 is 8421058407681.

18670485012480 is a `hidden beast` number, since 1 + 8 + 6 + 70 + 4 + 85 + 0 + 12 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 224945602519 + ... + 224945602601.

It is an arithmetic number, because the mean of its divisors is an integer number (27194403600).

Almost surely, 2^{18670485012480} is an apocalyptic number.

18670485012480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18670485012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41770603929600).

18670485012480 is an abundant number, since it is smaller than the sum of its proper divisors (64870722846720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18670485012480 is a wasteful number, since it uses less digits than its factorization.

18670485012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 18670485012480 in words is "eighteen trillion, six hundred seventy billion, four hundred eighty-five million, twelve thousand, four hundred eighty".